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Finding the Fourth Proportional to 85,468.24, 128,179.32 and 38,674

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Solution

The fourth proportional to 85,468.24, 128,179.32 and 38,674 is: 58,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,468.24 : 128,179.32 = 38,674 : x
  2. Step 2: Convert to fraction form
    85,468.24/128,179.32 = 38,674/x
  3. Step 3: Cross multiply
    85,468.24x = 128,179.32 × 38,674
  4. Step 4: Simplify right side
    85,468.24x = 4,957,207,021.68
  5. Step 5: Solve for x
    x = 4,957,207,021.68/85,468.24
  6. Step 6: Final answer
    x = 58,000.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.